Grade: 6 Unit: 2 Week: 5 Dates: 10/29-11/2 Content: Fractions & decimals, Rational Numbers Prerequisites: Graph integers and rational numbers on a number line and use the coordinate plane. Theme Essential Question:
Can students apply and extent previous understandings of multiplication, division and the number system to divide a fraction by a fraction find common factors and multiples and extend to the rational number system?
Essential Questions:
Can students convert between fractions and decimals?
Can students compare and order fractions and decimals?
Can students plot ordered pairs of rational numbers on a coordinate plane?
Standards
6.NS.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates.
6.NS.6c. Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane.
Objectives:
Students will convert between fractions and decimals.
Students will compare and order fractions and decimals.
Students will plot ordered pairs of rational numbers on a coordinate plane.
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Comparing and Ordering Fractions and Decimals Lesson 41 p81-82
Rational Numbers and the Coordinate Plane Lesson 42 p83-84
Mastering the Common Core ABC
Chapter 2 p15-17
Chapter 4 p44-53
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8
Graphing on a Number Line p22
Bonk the Mole p24
Gizmos
Comparing and Ordering Rational Numbers
Compare and order two rational numbers using an area model. JBHM
6th GP1-Unit 2, SBIL-2 Converting fractions, decimals, and percents-omit percents
6th GP1-Unit 2, SBIL-3 Compare and order fractions, decimals and percents-omit percents
Glenco
6th grade 5-5, 5-6, 5-7
7th grade 5-4, 5-8
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions. Tasks that illustrate content standard 6.NS.6c: None Currently Diverse Learners
Homework http://www.kutasoftware.com/free.htmlto print assignments on variety of topics See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activities Terminology for Teachers
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.findinters/ In this video segment from Cyberchase, the CyberSquad is looking for a lost Transformatron. Matt can see it along one line, while Jackie says she can see it along a different line. Digit and Inez try to figure out how this is possible, and they discover that one point can lie on two different lines.
Finding Your Way Around
http://illuminations.nctm.org/LessonDetail.aspx?ID=L280 Students explore two-dimensional space via an activity in which they navigate the coordinate plane. This NCTM Publication-Based Lesson Plan is adapted from the article,"Tips for Teaching Cartesian Graphing: Linking Concepts and Procedures" by Cathy G. Schloemer, which appeared in Teaching Children Mathematics, Vol. 1, No. 1 (September 1994) pp. 20-23
Firefighter Training
http://www.teachersdomain.org/resource/vtl07.math.data.rep.firetrain/ In this video segment from Cyberchase, Harry visits a fire station and learns some facts about firefighting. He then decides to train to become a firefighter, but first he must pass both written and physical tests. To practice for the physical part of the test, he works out on a stair climbing machine in shorts and a t-shirt. He keeps track of his steps per minute on a line graph. He does the same exercise during his test, but this time he's suited up in full fireman’s gear. He and his training instructor compare the results represented by each line graph.
Graphing in Quadrant 1 in the Coordinate Plane
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpquad1/ Students are introduced to graphing on the coordinate plane, in the first quadrant, using (x, y) coordinates. This CYBERCHASE activity is motivated by a video clip in which the CyberSquad is lost, and landmarks are ambiguous. They use the map's grid to construct a coordinate system using letters and numbers.
Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpplotting/ Students watch a set of Cyberchase video clips which show that between two points there is exactly one line, and that if two lines intersect, they intersect at a point. These ideas are used to motivate students to learn to plot points in all four quadrants, draw line segments connecting pairs of points, and find the coordinates of the intersection.
Points of Origin
http://www.teachersdomain.org/resource/ket09.math.geo.pla.origin/ This animation from KET illustrates how an origin is used for positive and negative measurement along a straight line and on a flat plane. It also shows how an origin, latitude, and longitude identify locations on Earth and explores how measuring temperature differs from measuring height or weight
Two Points Determine a Line
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twoptsline/ In this video segment from Cyberchase, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map.
Two Sightings, Different Information
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twosight/ In this video segment from Cyberchase, the CyberSquad is trying to locate a lost Transformatron. Matt can see it along one line, while Jackie says she can see it along a different line. Digit and Inez try to figure out how this is possible
Using a Coordinate Grid
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.coordingrd/ In this video segment from Cyberchase, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map
Grade: 6 Unit: 2 Week: 5 Dates: 10/29-11/2
Content: Fractions & decimals, Rational Numbers
Prerequisites: Graph integers and rational numbers on a number line and use the coordinate plane.
Theme Essential Question:
Essential Questions:
Standards
Objectives:
- Students will convert between fractions and decimals.
- Students will compare and order fractions and decimals.
- Students will plot ordered pairs of rational numbers on a coordinate plane.
Reflections and/or Comments from your PCSSD 6th Grade Curriculum TeamBackground Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
http://www.azed.gov/wp-content/uploads/PDF/MathGr6.pdf
http://www.ncpublicschools.org/docs/acre/standards/common-core-tools/unpacking/math/6th.pdf
Assessment
Product
On Core Mathematics, Assessment Guide, pg 40-42
Key Questions
Observable Student Behaviors
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Repeating Decimals
Coordinate Plane
Origin
Ordered pair
x-axis
y-axis
On Core Mathematics
- Fractions and Decimals Lesson 40 p79-80
- Comparing and Ordering Fractions and Decimals Lesson 41 p81-82
- Rational Numbers and the Coordinate Plane Lesson 42 p83-84
Mastering the Common Core ABC- Chapter 2 p15-17
- Chapter 4 p44-53
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8- Graphing on a Number Line p22
- Bonk the Mole p24
Gizmos- Comparing and Ordering Rational Numbers
Compare and order two rational numbers using an area model.JBHM
- 6th GP1-Unit 2, SBIL-2 Converting fractions, decimals, and percents-omit percents
- 6th GP1-Unit 2, SBIL-3 Compare and order fractions, decimals and percents-omit percents
Glenco- 6th grade 5-5, 5-6, 5-7
- 7th grade 5-4, 5-8
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.Tasks that illustrate content standard 6.NS.6c:
None Currently
Diverse Learners
Homework
http://www.kutasoftware.com/free.html to print assignments on variety of topics
See appropriate Glencoe, OnCore, JBHM, and ABC materials under suggested activities
Terminology for Teachers
Ethnicity/Culture | Immigration/Migration | Intercultural Competence | Socialization | Racism/Discrimination
High Yield Strategies
Similarities/Differences | Summarizing/Notetaking | Reinforcing/Recognition | Homework/Practice |
Non-Linguistic representation | Cooperative Learning | Objectives/Feedback |
Generating-Testing Hypothesis | Cues, Questions, Organizers
Resources
Professional Texts
Literary Texts
Informational Texts
- See New York Common Core Aligned Task (other resources)
http://schools.nyc.gov/Academics/CommonCoreLibrary/SeeStudentWork/default.htmArt, Music, and Media
Manipulatives
- www.nlvm.usu.edu
- Graphing calculators
Games- www.mathplayground.com
- http://www.sumdog.com/ Variety of games covering many math topics
VideosWebsites
- http://www.khanacademy.org/math
- http://www.tli.net/ TLI Quiz Builder
- http://webmath.com.
Sight WordsSMART Board Lessons, Promethean Lessons
- SMART Board Resource Website Smartboard lesson search engine
Other Activities, etc.- Elevator Arithmetic
http://illuminations.nctm.org/LessonDetail.aspx?ID=L733Students will use vertical movement of an elevator to evaluate signed number expressions.
- Finding the Intersection
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.findinters/In this video segment from Cyberchase, the CyberSquad is looking for a lost Transformatron. Matt can see it along one line, while Jackie says she can see it along a different line. Digit and Inez try to figure out how this is possible, and they discover that one point can lie on two different lines.
- Finding Your Way Around
http://illuminations.nctm.org/LessonDetail.aspx?ID=L280Students explore two-dimensional space via an activity in which they navigate the coordinate plane. This NCTM Publication-Based Lesson Plan is adapted from the article,"Tips for Teaching Cartesian Graphing: Linking Concepts and Procedures" by Cathy G. Schloemer, which appeared in Teaching Children Mathematics, Vol. 1, No. 1 (September 1994) pp. 20-23
- Firefighter Training
http://www.teachersdomain.org/resource/vtl07.math.data.rep.firetrain/In this video segment from Cyberchase, Harry visits a fire station and learns some facts about firefighting. He then decides to train to become a firefighter, but first he must pass both written and physical tests. To practice for the physical part of the test, he works out on a stair climbing machine in shorts and a t-shirt. He keeps track of his steps per minute on a line graph. He does the same exercise during his test, but this time he's suited up in full fireman’s gear. He and his training instructor compare the results represented by each line graph.
- Graphing in Quadrant 1 in the Coordinate Plane
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpquad1/Students are introduced to graphing on the coordinate plane, in the first quadrant, using (x, y) coordinates. This CYBERCHASE activity is motivated by a video clip in which the CyberSquad is lost, and landmarks are ambiguous. They use the map's grid to construct a coordinate system using letters and numbers.
- Line 'Em Up
http://illuminations.nctm.org/LessonDetail.aspx?ID=L617Line ‘Em Up: A self discovery approach in understand the process of plotting points on a coordinate plane, using a program for TI Graphing Calculator.
- Plotting Pairs of Coordinate Points in All Four Quadrants to Construct Lines
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.lpplotting/Students watch a set of Cyberchase video clips which show that between two points there is exactly one line, and that if two lines intersect, they intersect at a point. These ideas are used to motivate students to learn to plot points in all four quadrants, draw line segments connecting pairs of points, and find the coordinates of the intersection.
- Points of Origin
http://www.teachersdomain.org/resource/ket09.math.geo.pla.origin/This animation from KET illustrates how an origin is used for positive and negative measurement along a straight line and on a flat plane. It also shows how an origin, latitude, and longitude identify locations on Earth and explores how measuring temperature differs from measuring height or weight
- Two Points Determine a Line
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twoptsline/In this video segment from Cyberchase, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map.
- Two Sightings, Different Information
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.twosight/In this video segment from Cyberchase, the CyberSquad is trying to locate a lost
Transformatron. Matt can see it along one line, while Jackie says she can see it along a
different line. Digit and Inez try to figure out how this is possible
- Using a Coordinate Grid
http://www.teachersdomain.org/resource/vtl07.math.geometry.pla.coordingrd/In this video segment from Cyberchase, the CyberSquad have become separated on an island. In order to find each other they bring up a map on their Skwak Pads and try to compare positions using a coordinate grid and landmarks on the map
Language
Arts
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
6 Matrix
6 PAP Matrix
Week 1
Week 2
Week 3
Week 4
Week 5
Week 6
Home K-2
Home 3-6
Home 6-8
Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6